Statisticshard · Past Paper

For a continuous distribution, the median is 30. The median class is 20-40, frequency of median class is 10, and cumulative frequency before it is 15. Find total frequency N.

A40
B50
C30
D25

✓ Correct Answer: A40

Median = L + [(N/2 - cf)/f]*i. 30 = 20 + [(N/2 - 15)/10]*20. 10 = (N/2 - 15)*2. 5 = N/2 - 15. N/2 = 20. N = 40.

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